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102132631 = 3126312527
BaseRepresentation
bin1100001011001…
…10101110010111
321010011212122001
412011212232113
5202121221011
614045020131
72350053526
oct605465627
9233155561
10102132631
1152718837
122a254647
131820c413
14d7c84bd
158e767c1
hex6166b97

102132631 has 8 divisors (see below), whose sum is σ = 105836544. Its totient is φ = 98454360.

The previous prime is 102132607. The next prime is 102132647. The reversal of 102132631 is 136231201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102132631 - 29 = 102132119 is a prime.

It is a super-2 number, since 2×1021326312 = 20862148629964322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102132599 and 102132608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890 + ... + 14416.

It is an arithmetic number, because the mean of its divisors is an integer number (13229568).

Almost surely, 2102132631 is an apocalyptic number.

102132631 is a deficient number, since it is larger than the sum of its proper divisors (3703913).

102132631 is a wasteful number, since it uses less digits than its factorization.

102132631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102132631 is about 10106.0690181692. The cubic root of 102132631 is about 467.4353000342.

Adding to 102132631 its reverse (136231201), we get a palindrome (238363832).

The spelling of 102132631 in words is "one hundred two million, one hundred thirty-two thousand, six hundred thirty-one".

Divisors: 1 31 263 8153 12527 388337 3294601 102132631